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Could it be that R4 doesn't enter into the calculation at all? For R2 R3 R5 R6 the result is:

a) Sum series components R2 R5 =8500. Take reciprocal=.000117647

b) Sum series components R3 R6 =8000. Take reciprocal=.000125

c) Sum reciprocals=.000242647. Take that reciprocal=4121.21 Ω.

[automerge]1735351021[/automerge]

That's if R4 is absent or infinite. And even if R4 is 0Ω (straight wire), the result is 4100Ω.